The first thing the administrator should check is whether the server is in the collection that was scheduled to receive the update through SCCM. A collection is a group of resources, such as computers or users, that can be managed as a single entity by SCCM. If the server is not in the collection, it will not receive the update. The other options are less likely to be the cause of the problem, as they would affect other aspects of the server's functionality besides receiving updates. Reference: CompTIA Server+ Certification Exam Objectives, Domain 5.0: Security, Objective 5.4: Given a scenario, apply patches/updates and validate their installation.

A MD5 checksum is a value that is calculated from a file using a cryptographic hash function. A MD5 checksum is used to verify the integrity of a file by comparing it with the original value provided by the manufacturer or the source. If the MD5 checksums match, it means that the file is authentic and has not been corrupted or tampered with. If the MD5 checksums do not match, it means that the file is potentially corrupt or malicious and should not be installed12. A DLF configuration (A) is a setting that determines how a dynamic link library (DLL) is loaded into memory and executed by an application. A DLF configuration does not check the integrity of a file. A MBR failure (B) is a problem that occurs when the master boot record (MBR) of a disk is damaged or corrupted, preventing the system from booting. A MBR failure does not check the integrity of a file. ECC support is a feature that enables error-correcting code (ECC) memory to detect and correct data errors in RAM. ECC support does not check the integrity of a file. Reference: 1 https://www.comparitech.com/net-admin/file-integrity-monitoring-tools/ 2 https://csrc.nist.gov/CSRC/media/Presentations/Firmware-Integrity-Verification-Monitoring-and-Re/images-media/day2_demonstration_330-420.pdf

Grandfather-father-son (GFS) is a common backup rotation scheme that uses daily, weekly, and monthly backup media in a first-in, first-out (FIFO) method. The daily backups are rotated on a 3-months basis using a FIFO system as above. The weekly backups are similarly rotated on a bi-yearly basis, and the monthly backups are rotated on an annual basis. The oldest backup media in each cycle are overwritten by the newest ones. This scheme provides multiple versions of backup data at different intervals, allowing for flexible restoration options. Waterfall is another name for GFS. Synthetic full is a backup method that combines an initial full backup with subsequent incremental backups to create a new full backup without transferring all data again. Tower of Hanoi is another backup rotation scheme that uses an algorithm based on moving disks between three pegs. References:
https://en.wikipedia.org/wiki/Backup_rotation_scheme

The ping command output shows that the NIC has an IP address of 192.168.1.100 and a default gateway of 192.168.1.1. However, when the technician tries to ping the default gateway, the reply comes from another IP address: 192.168.1.101. This means that there is another device on the network that has the same IP address as the default gateway, and it is responding to the ping request instead of the intended destination.
A duplicate IP address can cause network connectivity problems, such as packet loss, routing errors, or unreachable hosts. To resolve this issue, the technician should either change the IP address of the default gateway or the device that is conflicting with it, or use DHCP to assign IP addresses automatically and avoid conflicts.
The other options are not correct because they do not explain the ping output. An incorrect default gateway would cause no reply or a destination unreachable message, not a reply from a different IP address. A DHCP misconfiguration would cause an invalid or no IP address on the NIC, not a duplicate IP address on the network. An incorrect routing table would cause routing errors or unreachable destinations, not a reply from a different IP address.
References:
https://askleo.com/what_is_ping_and_what_does_its_output_tell_me/
https://learn.microsoft.com/en-us/windows-server/administration/windows-commands/ping

Reference:
The Recovery Time Objective (RTO) is the maximum amount of time that a company agrees to tolerate in the event of a disaster before restoring its normal operations. The RTO is based on the business impact analysis (BIA) and the criticality of the processes and data involved. The RTO helps determine the backup and recovery strategies and resources needed to minimize downtime and data loss. Reference: https://www.ibm.com/cloud/learn/recovery-time-objective